What is the antiderivative of cosx

The video tutorial introduces the concept of derivatives, specifically dy/dx, and explores how to find antiderivatives. It discusses the power rule and trigonometric derivatives, emphasizing the relationship between derivatives and antiderivatives. The tutorial concludes with a brief summary and poses further questions for consideration.

What does dy/dx represent in calculus?

• The integral of a function

• The derivative of a function

• The limit of a function

• The area under a curve

Which of the following is NOT a notation for derivatives?

• dy/dx

• y'

• f(x)

• D(y)

What is the goal when finding an antiderivative?

• To determine the original function before differentiation

• To find the slope of a tangent line

• To calculate the area under a curve

• To solve a differential equation

Why is the power rule not applicable when finding the antiderivative in this context?

• Because it requires a constant term

• Because it only applies to exponential functions

• Because it is only used for integration

• Because it is not suitable for trigonometric functions

What is the derivative of cosine?

• Negative cosine

• Cosine

• Negative sine

• Sine